A Hybrid Approach to Fast Indirect Quadrilateral Mesh Generation

D Zint, R Grosso - Numerical Geometry, Grid Generation and Scientific …, 2021 - Springer
D Zint, R Grosso
Numerical Geometry, Grid Generation and Scientific Computing: Proceedings of …, 2021Springer
Indirect quadrilateral mesh generation methods are commonly used particularly for
numerical simulations due to their adaptiveness to different element sizes across the
domain. The well-known Blossom-Quad algorithm generates high quality meshes but has a
worst case complexity of O (N 2+ N log N) O (N^ 2\+\N\log\N). A method which merges
triangles using topological operations is less complex, indeed we show that it has a
complexity of O (N log N) O (N\log\N), but resulting meshes might have low quality especially …
Abstract
Indirect quadrilateral mesh generation methods are commonly used particularly for numerical simulations due to their adaptiveness to different element sizes across the domain. The well-known Blossom-Quad algorithm generates high quality meshes but has a worst case complexity of . A method which merges triangles using topological operations is less complex, indeed we show that it has a complexity of , but resulting meshes might have low quality especially near boundaries. We propose a combination of these two methods. Boundary regions are processed by Blossom-Quad and the interior by triangle merging. Post-processing solves quality issues caused by triangle merging. The results are comparable to pure Blossom-Quad but this approach is much faster. Therefore, it is favorable especially on large meshes where the runtime of Blossom-Quad might become troublesome. The efficiency of this hybrid approach is shown on ocean meshes with up to several million triangles.
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